{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "79cb4f1e",
   "metadata": {},
   "source": [
    "## Quickly Visualizing Data Using Pandas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "77e9af5a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from IPython.display import display\n",
    "from openbb import obb\n",
    "from pandas.plotting import bootstrap_plot, scatter_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e6ec8080",
   "metadata": {},
   "outputs": [],
   "source": [
    "obb.user.preferences.output_type = \"dataframe\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "790cabb0",
   "metadata": {},
   "source": [
    "Fetches historical price data for the equity \"AAPL\" using the \"yfinance\" provider and stores it in 'df'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7b4ba645",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = obb.equity.price.historical(\"AAPL\", provider=\"yfinance\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de88115b",
   "metadata": {},
   "source": [
    "Plots the closing prices of 'AAPL'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "36237421",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='date'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.close.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "075d6728",
   "metadata": {},
   "source": [
    "Calculates the percentage change of the closing prices and stores it in 'returns'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "197f68a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "returns = df.close.pct_change()\n",
    "returns.name = \"return\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71ff6db3",
   "metadata": {},
   "source": [
    "Plots the returns as a bar chart with a title, no grid, and no x-ticks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "145f79d6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'AAPL returns'}, xlabel='date'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "returns.plot.bar(title=\"AAPL returns\", grid=False, legend=True, xticks=[])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb2c5849",
   "metadata": {},
   "source": [
    "Plots the returns as a histogram with 50 bins"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ad39dc79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Frequency'>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "returns.plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb66883f",
   "metadata": {},
   "source": [
    "Plots the returns as a box plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c2ab2212",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "returns.plot.box()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e7bf39c",
   "metadata": {},
   "source": [
    "Fetches historical price data for the equity \"QQQ\" using the \"yfinance\" provider and stores it in 'qqq'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b7f568ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "qqq = obb.equity.price.historical(\"QQQ\", provider=\"yfinance\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea3fb76d",
   "metadata": {},
   "source": [
    "Calculates the percentage change of the closing prices of 'QQQ' and stores it in 'qqq_returns'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c176e1f0",
   "metadata": {},
   "outputs": [],
   "source": [
    "qqq_returns = qqq.close.pct_change()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12e98d67",
   "metadata": {},
   "source": [
    "Concatenates 'returns' and 'qqq_returns' into a DataFrame 'asset_bench' and renames the columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "cec38109",
   "metadata": {},
   "outputs": [],
   "source": [
    "asset_bench = pd.concat([returns, qqq_returns], axis=1)\n",
    "asset_bench.columns = [\"AAPL\", \"QQQ\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "859cb2b6",
   "metadata": {},
   "source": [
    "Plots a scatter plot of 'AAPL' returns against 'QQQ' returns with a point size of 0.25"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "8e6e3ce5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='QQQ', ylabel='AAPL'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "asset_bench.plot.scatter(x=\"QQQ\", y=\"AAPL\", s=0.25)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4e8c4b1",
   "metadata": {},
   "source": [
    "Plots a scatter matrix of 'asset_bench'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "51ee1288",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<Axes: xlabel='AAPL', ylabel='AAPL'>,\n",
       "        <Axes: xlabel='QQQ', ylabel='AAPL'>],\n",
       "       [<Axes: xlabel='AAPL', ylabel='QQQ'>,\n",
       "        <Axes: xlabel='QQQ', ylabel='QQQ'>]], dtype=object)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter_matrix(asset_bench)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e699e4a",
   "metadata": {},
   "source": [
    "Plots a bootstrap plot of 'returns'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ee9ddf02",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 6 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bootstrap_plot(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4de41d57",
   "metadata": {},
   "source": [
    "**Jason Strimpel** is the founder of <a href='https://pyquantnews.com/'>PyQuant News</a> and co-founder of <a href='https://www.tradeblotter.io/'>Trade Blotter</a>. His career in algorithmic trading spans 20+ years. He previously traded for a Chicago-based hedge fund, was a risk manager at JPMorgan, and managed production risk technology for an energy derivatives trading firm in London. In Singapore, he served as APAC CIO for an agricultural trading firm and built the data science team for a global metals trading firm. Jason holds degrees in Finance and Economics and a Master's in Quantitative Finance from the Illinois Institute of Technology. His career spans America, Europe, and Asia. He shares his expertise through the <a href='https://pyquantnews.com/subscribe-to-the-pyquant-newsletter/'>PyQuant Newsletter</a>, social media, and has taught over 1,000+ algorithmic trading with Python in his popular course **<a href='https://gettingstartedwithpythonforquantfinance.com/'>Getting Started With Python for Quant Finance</a>**. All code is for educational purposes only. Nothing provided here is financial advise. Use at your own risk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "76415c0b-80c9-47f6-bda3-f1ad3be4c2c6",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all",
   "main_language": "python",
   "notebook_metadata_filter": "-all"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
